Child Health and Development Studies (CHDS) has been collecting data about expectant mothers in Oakland, CA since 1959. One of the measurements taken by CHDS is the weight increase (in pounds) for expectant mothers in the second trimester. In a fictitious study, suppose that CHDS finds the average weight increase in the second trimester is 14 pounds. Suppose also that, in 2015, a random sample of 40 expectant mothers have mean weight increase of 16 pounds in the second trimester, with a standard deviation of 6 pounds. At the 5% significance level, we can conduct a one-sided T-test to see if the mean weight increase in 2015 is greater than 14 pounds. Statistical software tells us that the p-value = 0.021.
Which of the following is the most appropriate conclusion?
Here , We have ,
Sample size (n) = 40
Sample mean ( ) =16.
Stndard deviation (s) = 6
Ho : = 14
Ha : > 14
This is a right tailed test.
Since Pvalue < significance level(0.05) So, rejects the null hypothesis.
Rejects the null Hypothesis & There is sufficient evidence to support the claim that the mean weight increase in 2015 is greater than 14 pounds.
There is a 2.1% chance that a random sample of 40 expectant mothers will have a mean weight increase of 16 pounds or greater if the mean second trimester weight gain for all expectant mothers is 14 pounds.
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